SOLUTION: Compare the graph if h(x)=3/4X2 with the graph f(x)=X2. Which statement is true? 1. h(x) wS vertically shrunk 2. h(x) was reflected over the x-axis 3. h(x) was vertically stretc

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Compare the graph if h(x)=3/4X2 with the graph f(x)=X2. Which statement is true? 1. h(x) wS vertically shrunk 2. h(x) was reflected over the x-axis 3. h(x) was vertically stretc      Log On


   

Question 1138676: Compare the graph if h(x)=3/4X2 with the graph f(x)=X2. Which statement is true?
1. h(x) wS vertically shrunk
2. h(x) was reflected over the x-axis
3. h(x) was vertically stretched
4. H(x) was reflected over the y-axis
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

h%28x%29=%283%2F4%29X%5E2 with the graph f%28x%29=X%5E2
recall:
A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis.
• if k+%3E+1, the graph of h%28x%29+=+k%2Af%28x%29 is the graph of f+%28x%29 vertically stretched by multiplying each of its y-coordinates by k

• if 0+%3C+k+%3C+1 (a fraction), the graph is f+%28x%29 vertically shrunk (or compressed) by multiplying each of its y-coordinates by k+
• if k+should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis
in your case the parent function f%28x%29=X%5E2 is multiplied by k=3%2F4 which is 0+%3C+k+%3C+1 (a fraction), and
the graph is f+%28x%29 vertically shrunk (or compressed) by multiplying each of its y-coordinates by k+
=>h%28x%29=%283%2F4%29X%5E2 is vertically shrunk (or compressed) by k=3%2F4+

answer:
1. h%28x%29+wS vertically shrunk